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    <issuer>
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        <issuerName>PRICE T ROWE GROUP INC</issuerName>
        <issuerTradingSymbol>TROW</issuerTradingSymbol>
    </issuer>

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            <rptOwnerCik>0001839558</rptOwnerCik>
            <rptOwnerName>Thomson Andrew Justin Mackenzie</rptOwnerName>
        </reportingOwnerId>
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            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BALTIMORE</rptOwnerCity>
            <rptOwnerState>MD</rptOwnerState>
            <rptOwnerZipCode>21202</rptOwnerZipCode>
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            <isOfficer>true</isOfficer>
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            <officerTitle>Vice President</officerTitle>
            <otherText></otherText>
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    <footnotes>
        <footnote id="F1">12/7/2021 - The restricted stock unit award is settled in shares of common stock upon vesting. The awards vest in three annual installments beginning on December 9, 2022. As previously disclosed in the Company's 2019 Proxy Statement, in addition to this time-based award, the officer was also granted a performance-based award, which if earned, would vest in two annual installments beginning on December 10, 2025.</footnote>
        <footnote id="F2">02/23/2012 Grant - The option vests 20% annually over a 5 year period beginning on 11/1/2013.</footnote>
        <footnote id="F3">09/06/2012 Grant - The option vests 20% annually over a 5 year period beginning on 12/10/2013.</footnote>
        <footnote id="F4">02/21/2013 Grant - The option vests 20% annually over a 5 year period beginning on 12/10/2014.</footnote>
        <footnote id="F5">09/10/2013 Grant - The option vests 20% annually over a 5 year period beginning on 12/10/2014.</footnote>
        <footnote id="F6">02/19/2014 Grant - The option vests 20% annually over a 5 year period beginning on 12/10/2015.</footnote>
        <footnote id="F7">9/9/2014 Grant - The option vest 20% annually over a 5 year period beginning on 12/10/2015.</footnote>
        <footnote id="F8">02/19/2015 Grant - The option vests 20% annually over a 5 year period beginning on 12/10/2016.</footnote>
        <footnote id="F9">09/10/2015 Grant - The option vests 20% annually over a 5 year period beginning on 12/10/2016.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Kathryn L. Reilly, Assistant Corporate Secretary, as attorney in fact for Thomson, Andrew Justin Mackenzie</signatureName>
        <signatureDate>2021-12-08</signatureDate>
    </ownerSignature>
</ownershipDocument>
